The Kinetic Sunyaev Zeldovich Effect, the Alcock Paczynski Test and Dark Energy

Mathematics – Logic

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Scientific paper

We investigate the possibility of probing dark energy by measuring the isotropy of the galaxy cluster autocorrelation function (an Alcock-Paczynski test). The correlation function is known to be distorted in redshift space because of the cluster peculiar velocities, but if these are subtracted, thecorrelation function measurement becomes in principle a pure test of cosmic geometry. Galaxy cluster peculiar velocities can be measured using the kinetic Sunyaev Zeldovich (kSZ) effect. Upcoming surveys, e.g., ACT, SPT, Planck, are expected to do this with varying levels of accuracy, dependent on systematic errors due to interstellar gas emissions, radio point sources, and the primary CMB anisotropy. We use the Hubble volume N-body simulation and the hydrodynamical simulation results of Nagai et. al (2003) to simulate various kSZ surveys. We examine whether a measurement of the correlation function distortion can be used to recover the cosmological parameters that have been used to generate the simulation. We find that the low space density of galaxy clusters requires larger surveys than are taking place at present. Nevertheless, with accurate measurements of the kSZ effect, this test can be used to usefully probe the dark energy equation of state and its evolution with redshift, with different systematic errors than other methods.

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